Given numbers are 214,650,623,340

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 214,650,623,340 is 1473208100.

Find LCM of 214,650,623,340 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 5 x 107 x 65 x 623 x 34 = 1473208100

Therefore, the lowest common multiple of 214,650,623,340 is 1473208100.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

214 x 650 x 623 x 340 = 29464162000

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

214 : 1, 2, 107, 214

650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

623 : 1, 7, 89, 623

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,650,623,340, is 1.

Now, the common factors can be found like this.

214:2x 107

650:2x 5x 5x 13

623:7x 89

340:2x 2x 5x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 5 = 20

Therefore, the value for common factors is 20.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 29464162000/(1x20)

LCM = 29464162000/20

LCM = 1473208100

Thus, we can understand that the LCM of 214,650,623,340 is 1473208100.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 994, 353, 373, 934
• LCM of 485, 148, 990, 279
• LCM of 597, 274, 581, 393
• LCM of 500, 797, 784, 856
• LCM of 353, 974, 394, 345

1. What is the LCM of 214, 650, 623, 340?

Answer: LCM of 214, 650, 623, 340 is 1473208100.

2. How to calculate the LCM of 214, 650, 623, 340?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 214, 650, 623, 340.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.